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1440095040 = 263254710639
BaseRepresentation
bin101010111010110…
…0001101101000000
310201100210102000100
41111311201231000
510422131020130
6354522122400
750454414546
oct12565415500
93640712010
101440095040
1167999479a
12342350400
1319c479657
14d938bd96
1586664c60
hex55d61b40

1440095040 has 168 divisors, whose sum is σ = 5059192320. Its totient is φ = 375819264.

The previous prime is 1440095011. The next prime is 1440095053. The reversal of 1440095040 is 405900441.

It is a junction number, because it is equal to n+sod(n) for n = 1440094995 and 1440095013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130041 + ... + 140679.

It is an arithmetic number, because the mean of its divisors is an integer number (30114240).

Almost surely, 21440095040 is an apocalyptic number.

1440095040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529596160).

1440095040 is an abundant number, since it is smaller than the sum of its proper divisors (3619097280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1440095040 is a wasteful number, since it uses less digits than its factorization.

1440095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10709 (or 10696 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1440095040 is about 37948.5841633123. The cubic root of 1440095040 is about 1129.2680774619.

Adding to 1440095040 its reverse (405900441), we get a palindrome (1845995481).

The spelling of 1440095040 in words is "one billion, four hundred forty million, ninety-five thousand, forty".